The SZE produced by the non-thermal electrons inside the cavity can be compared with the thermal SZE produced by the high temperature gas inside the same cavity. Since we don't have observational information about the properties of this gas, we can assume several values for its temperature, and assume for its density the values for which its pressure is equal to the one of the external ICM at the location of the cavity, \(P_{cav}=6\times 10^{-11}\)  erg cm\(^{-3}\)  [1]}, i.e. \(n_{th}=P_{cav}/(kT)\) . Using the full relativistic formalism, we calculate the thermal SZE for these temperatures and the optical depths derived from these values of the density, and the non-thermal SZE for the Coulomb losses rates provided by the same values of the thermal density. In the last three panels of Fig.REF  the results for three values of the temperature are shown.
